Solving the following inequalities.  Give both inequality and interval notation forms of the solution.

-2 ( m - 3) < 5 ( m + 1) -12

Solution

Solving out single linear inequalities follow pretty much the similar process for solving linear equations.  We will simplify both of the sides, get all the terms along with the variable on one side & the numbers on the other side, & then multiply/divide both of sides through the coefficient of the variable to obtain the solution.  The one thing which you've got to recall is that if you multiply/divide by a negative number then switches the direction of the inequality.

 -2 ( m - 3) < 5 ( m + 1) -12

Really there isn't much to do here other than follow the procedure outlined above.

-2 (m - 3) < 5 ( m + 1) -12

-2m + 6 < 5m + 5 -12

-7m < -13

   m < 13/ 7

 

You did notice the fact that the direction of the inequality vary here didn't you? We divided by a "-7" and thus we had to change the direction. The inequality form of the solution is m > 7.

The interval notation for this solution is, ( 13/ 7, ∞ ) .

Posted Date: 4/6/2013 5:24:17 AM | Location : United States

Ask an Expert

Related Discussions:- Inequality and interval notation, Assignment Help, Ask Question on Inequality and interval notation, Get Answer, Expert's Help, Inequality and interval notation Discussions

Write discussion on Inequality and interval notation
Your posts are moderated

Write your message here..

Related Questions

Factorisation, (9x-3)(x+6) (9x-3)(x+6)

Interval notation, Interval notation The next topic that we have to dis... Interval notation The next topic that we have to discuss is the idea of interval notation.  Interval notation is some very pleasant shorthand for inequalities & will be utilize

Real numbers, classify 0.626539212 classify 0.626539212

College algebra, how to use the factor theorem how to use the factor theorem

Operations, [-(y4-y2 + 1)-(y4+2y2 + 1]+(4y4-10y2-3) [-(y4-y2 + 1)-(y4+2y2 + 1]+(4y4-10y2-3)

Y=a+bx, how do you solve this#question with (3,5)and (2,1) .. how do you solve this#question with (3,5)and (2,1) ..

#Perpendiculer and parallel equations, #How do you solve them???? #How do you solve them????

Proportion method, exammples exammples

Problem, A tank is filling with water from a natural spring. Two days ago t... A tank is filling with water from a natural spring. Two days ago the water was 10 feet deep, and yesterday the water was 12 feet deep. Assume that the water depth continues to rise

College Algebra Test Quesion, An inlet pipe can fill a large water tank in ... An inlet pipe can fill a large water tank in 4 hours. Another inlet pipe can fill the same water tank in 5 hours. Given an empty water tank, at 8:00 AM, activate both pipes. What t